Question

The mean of 11 observation is 50. If the mean of first Six observations is 49 and that of last six observation is 52, then find sixth observation.

Answer 1

Mean:
The mean of a number of observation is the sum of the values of all the observations divided by the total number of observations.

Mean=sum of all the observations/total number of observations.

SOLUTION:
Given:
Mean of 11 observations = 50
Mean of first 6 observations= 49
Mean of last 6 observations= 52

Sum of the first 6 observations=( 6 ×49)= 294
Sum of the last 6 observations =(6×52)=312
Sum of 11 observations=  50×11= 550

The 6th observation = Sum of the first 6 observations +  Sum of the last 6 observations - Sum of 11 observations

The 6th observation = 294 +312 -550
= 606 -550= 56

Hence, The 6th observation is 56.

HOPE THIS WILL HELP YOU..

Answer 2

Answer:

56

Step-by-step explanation:

Mean:

The mean of a number of observation is the sum of the values of all the observations divided by the total number of observations.

Mean=sum of all the observations/total number of observations.

SOLUTION:

Given:

Mean of 11 observations = 50

Mean of first 6 observations= 49

Mean of last 6 observations= 52

Sum of the first 6 observations=( 6 ×49)= 294

Sum of the last 6 observations =(6×52)=312

Sum of 11 observations= 50×11= 550

The 6th observation = Sum of the first 6 observations + Sum of the last 6 observations - Sum of 11 observations

The 6th observation = 294 -550+320

= 606 -550= 56

Hence, The 6th observation is 56.